Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Answer:
1.
hours / views
1. / 125
2. / 250
3. / 375
4. / 500
5. / 625
2.
f(x)= 125 x views=125.hours
The slope of the function equals the visits of each hour.
3. (1;125) (2;250) (3;375) (4;500) (5;625)
4. "views as a function of hours"
5. in 12 hours the website will have f(12)=125 . 12 = 1500 views.
we can see in the plot that the line gets to that number for 8
Answer:
x=21
Step-by-step explanation:
x=9+12 x=21
In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
